So, for correction, we have to add 0110 to all three groups. When we add 6 and 7 in BCD, we get 1101 which is an invalid state therefore, we add 0110 (6) to the sum to get correct result which is 0001 0011 (13).īCD representation of 8765 is given as 1000 0111 0110 0011 and for 3943 it is 0011 1001 0100 0011.įirstly, we will perform a normal binary addition of two numbers now we see 11 which are illegal states also the third group of 4-bits from LSB side i.e., 0000 has a carry 1 to the next group. Solution: BCD representation of 6 is given as 0110 and for 7 it is 0111.
The BCD addition, is thus carried out by individually adding the corresponding 4-bit groups starting from the LSB side and if there is a carry to the next group, or if the result belongs to any of the 6 illegal states than we add 6 10(0110) to the sum term of that group and resulting carry is added in the next group.Įxample: Perform BCD Addition of 6 and 7. Here, the rules of binary addition are partially applicable only to the individual 4-bit groups. The addition of BCD numbers is slightly different from binary addition. Similarly, (53) 10 in BCD notation can be represented as (0101 0011). (28) 10 in BCD notation can be represented as (0010 1000). Decimal NumbersĮxample 1: Represent (28) 10 and (53) 10 in 8421 BCD notation The following table describes the relation between Decimal, Binary and 8421 BCD numbers. Here, we require 8-bits to represent the same 13.Īnother disadvantage is that arithmetic operations become more complex as compared to the usual binary numbers because, in BCD numbers, we have 6 illegal states as 1010, 1011, 1100, 1101, 11 which are not part of 8421 BCD system. C String To Bcd RE: ASCII to BCD conversion Per Westermark Now if you only use digits (0.9) - why then did you suddenly include the one line that makes use of character 'a' and was intended for the hexadecimal range 'a'. Usually, in binary numbers, we represent (13) 10 = (1101) 2 i.e., we require 4-bits but in BCD notation (13) 10 is represented as (0001 0011). Also, the sequential nature of BCD numbers makes it advantageous for performing arithmetic operations.Īlthough, there are many advantages there are some disadvantages too such as:īCD codes are more inefficient than usual binary codes. In a digital system that accepts only binary numbers in form of 0 and 1, the only way to interpret decimal numbers is its conversion from decimal to binary and vice-versa which is a slow process and it also requires a huge electronic circuitry. Since the weights are attached to it comes in the category of weighted codes and is also sequential.
The 4-bit binary numbers have their weights attached as 8, 4, 2, 1 from MSB to LSB side.
C STRING TO BCD CODE
Submitted by Saurabh Gupta, on November 02, 2019īCD Code (8421 Code): In BCD 8421 code, each decimal digit is represented using a 4-bit binary number.
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C STRING TO BCD ANDROID
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